The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemizeddeductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,757.Assume that the standard deviation is o = $2169. Use z-table.a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show asample mean within $169 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round youranswers to four decimals.n = 30n = 50n = 100n = 400b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers tofour decimals.

Answered: Image /qna-images/answer/1416c1a1-4617-4f23-a368-80b51e62207a.jpg

Answered: The Wall Street Journal reported that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A large corporation employs 21,995 individuals. The average income of all employees is $64,372, with a standard deviation of $18,985 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 180 randomly selected employees. What is the population standard deviation?
The u.s. Bureau of labor statistics reported the mean hourly wage rate for individuals in executive, administrative, and managerial occupations is $26. Assume the population mean is $26 and the population standard deviation is $4. A sample of 115 individuals in executive, administrative, and managerial occupation will be selected. What is the probability that the sample mean will be greater than $27?
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and standard deviation of 1.1 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) What is the probability of spending less than 8 days in recovery? %b) What is the probability of spending more than 5 days in recovery? %c) What is the probability of spending between 5 days and 8 days in recovery? %
According to a recent survey, the salaries of entry-level positions at a large company have a mean of $41,750 and a standard deviation of $7000 . Assuming that the salaries of these entry-level positions are normally distributed, find the proportion of employees in entry-level positions at the company who earn at most $45,000 . Round your answer to at least four decimal places.
Suppose that the monthly charges for cell phone plans in the United States are normally distributed with a mean of $93 and a standard deviation of $19. What is the probability that any one cell phone user has a monthly plan that exceeds $76? Round your answer to at least three decimal places.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 247 feet and a standard deviation of 53 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 192 feet? P(fewer than 192 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 204 feet? P(more than 204 feet) = %
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is more than $35,000?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 43 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? P(more than 216 feet) =
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30000 and $60000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was 17226. Assume that the standard deviation is 2011. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within 182 of the population mean for each of the following sample sizes: 30, 50,100, and 400? Round your answers to four decimals. b.A larger sample (increases)the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 182(+-) of u ranges from (____)for a sample of size to (____)for a sample of size 400.

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